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Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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DO NUMBER 5
(Linear Alegbra & Diff. equations)

Transcribed Image Text:esk Copilot
1
+
8
2
of 4
(D
A
1
1 1
1
1
2
-1
5 3 6
4. Consider A =
with a corresponding rref(A) =
-1
2
-41
-2
4 -2 10 9
15
[1 0 2 0 1
01-10
0 0 0 1 1
0 0 0 0 0
⚫ State a basis for the column space of A.
Choose one of the columns from A not selected as part of the basis and show how it is a
linear combination of your basis.
ง
5. Using the same matrix A as in the previous problem:
State a basis for the mull space (kernel) of A.
• Give an example of a nonzero vector in the null space that is not one of your basis
vectors.
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